Least Common Multiple of 82/855, 80/878, 469/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/855, 80/878, 469/525 quickly i.e. 1538320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/855, 80/878, 469/525 is 1538320.

LCM(82/855, 80/878, 469/525) = 1538320

LCM of 82/855, 80/878, 469/525

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 82/855,80/878,469/525

Given numbers are 82/855,80/878,469/525

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 82,80,469

Least Common Multiple of Numerators i.e. LCM of 82,80,469 is 1538320.

GCF of Denominators means GCF of 855,878,525 as per the given fractions.

GCF of 855,878,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,80,469

LCM of Fractions 82/855,80/878,469/525 is 1538320

2 82, 80, 469
41, 40, 469

∴ So the LCM of the given numbers is 2 x 41 x 40 x 469 = 1538320

Least Common Multiple of 82,80,469 with GCF Formula

Least Common Multiple of 82,80,469 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,80,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,80,469) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,80,469) x common factors =1 x 2 = 2

LCM(82,80,469) = ( 82 × 80 × 469 ) / 2

LCM(82,80,469) = 3076640 / 2

LCM(82,80,469) = 1538320


Lets's calculate GCF of 855,878,525

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1538320/1

Therefore the LCM of Fractions 82/855,80/878,469/525 is 1538320

Greatest Common Factor of 855,878,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,878,525 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 855,878,525 . The biggest common factor number is the GCF number.
So the greatest common factor 855,878,525 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 82/855, 80/878, 469/525

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 82/855, 80/878, 469/525?

Answer: LCM of Numerators as per given numbers 82/855, 80/878, 469/525 is

LCM of Numerators i.e. for 82,80,469 is 1538320

GCF of denominators i.e. for 855,878,525 is 1.

Thus, LCM of Fractions is 1538320.Finally, LCM of Fractions for 82/855, 80/878, 469/525 is 1538320.